Reduction of the Kolmogorov inequality for a non negative part of the second derivative on the real line to the inequality for convex functions on an interval

DOI10.33048/SEMI.2021.18.120zbMath1491.39016OpenAlexW4206147334MaRDI QIDQ2145056

Nikita Slavich Payuchenko

Publication date: 17 June 2022

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2021.18.120

zbMATH Keywords

Kolmogorov inequalityexact constantinequalities between norms of function and its derivativesnon-negative part of second derivative

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Other analytical inequalities (26D20)

Related Items (2)

International S. B. Stechkin's workshop-conference on function theory dedicated to the 85th anniversary of Yu. N. Subbotin and N. I. Chernykh ⋮ The sharp Landau-Kolmogorov inequality for the set \(\| y^\prime \|_2, \| y \|_1, \| y_+^{\prime \prime} \|_\infty\) on the real line

Cites Work

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• The Landau-Kolmogorov inequality revisited
• Best approximation of unbounded operators by bounded ones
• Inequalities for derivatives of functions on an axis with nonsymmetrically bounded higher derivatives
• Approximation of unbounded operators by bounded operators and related extremal problems
• A new proof and a generalization of an inequality of Bohr

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